On Bilateral Multiple Sums and Rogers-Ramanujan Type Identities
Abstract
We establish some new bilateral double-sum Rogers-Ramanujan identities involving parameters. As applications, these identities yield several new multi-sum Rogers-Ramanujan type identities. Our proofs utilize the theory of basic hypergeometric series in conjunction with the integral method.
Fields of Study & Subjects
Advanced Mathematical Identities
Mathematical functions and polynomials
Analytic Number Theory Research
Publication details
- Journal / source
- Symmetry Integrability and Geometry Methods and Applications
- Publication date
- 18 April 2026